Pi-Hole should work out of network since it is listening on all interfaces, and port 53 (TCP & UDP) is forwarded onto the device.
Actual Behaviour:
Pi-Hole only works when it is listening when on option " Listen only on interface eth0". If not on this option, the Pi-Hole doesn't respond to any request, giving me an error on chrome.
Are you referring to this port being open within your LAN (i.e. on the Pi itself), or open on your router so that incoming port 53 traffic passes to the Pi?
It is forwarded from my router, so any traffic that uses port 53 goes to the Pi. I just realized the problem. IPTables was installed without my consent, so I did not realize it was there.